Fibonacci

History of the Fibonacci number sequence, their is clear evidence that ancient civilizations understood and used these numbers much better than we do today.

Seeing Sound::Old East Indian diagrams  (Mandalas) of Chakras and Yantras are strikingly similar to the geometry of sound. The Indians understood quantum physics; the body and the Universe is a cloud of vibrating energy and the secret of health and happiness is to keep these layers of energy in tune. Low-frequency sounds produce simple circles. As the frequency increases, the sound patterns become more intricate and complex.

Science mystery: Old Indian diagrams of Chakras and Yantra-Mandalas are strikingly similar to the geometry of sound. As the frequency increases sound patterns are more intricate and complex.

Within the hand are proportions that reflect the Golden Ratio, also known as Phi, equal to approximately 1.618. Between the segments on a finger, the relationship between one joint to the next equates to Phi; this ratio is also expressed in other proportions of the human body.

via nezart design “ This photo is beautifully conceptualized, but in a greater sense it also alludes to a profound truth of the sacred geometric.

Golden Mean Calipers go beyond measuring a single distance. They show two distances that are in the perfect Golden Mean ratio to one another! For a smart DIY project, make a cardboard model that shows a ratio of your choice, like 1:5 or Pi. More ideas for #MathMakers at http://www.moebiusnoodles.com/category/make/

Golden Mean Calipers go beyond measuring a single distance. They show two distances that are in the perfect Golden Mean ratio to one another! For a smart DIY project, make a cardboard model that shows a ratio of your choice, like or Pi.

In Leonardo Da Vinci's Last Supper fresco, the Golden Ratio (rear wall and windows) and other relationships based on Fibonacci Numbers (foreground, table and disciple's feet) may be found in the relationship of elements in the composition.

In Leonardo Da Vinci's Last Supper fresco, the Golden Ratio (rear wall and windows) and other relationships based on Fibonacci Numbers (foreground, table and disciple's feet) may be found in the relationship of elements in the composition.

Leonardo Da Vinci Golden Mean, Leonardo Da Vinci Golden Ratio

In Leonardo Da Vinci's Last Supper fresco, the Golden Ratio (rear wall and windows) and other relationships based on Fibonacci Numbers (foreground, table and disciple's feet) may be found in the relationship of elements in the composition.

GOLDEN RATIO IN SNOW CRYSTALS

GOLDEN RATIO IN SNOW CRYSTALS

Fibonacci explained another way... I don't remember Phi being this interesting!

Fibonacci video- Leonardo of Pisa, the rabbit problem, structure of flowers/plants, Golden Ratio (Phi) in architecture

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you will give a human form to the economy. The Fibonacci sequence in beauty is found in the human face. The most beautiful people have faces that closely adhere to this proportion.

Golden-ratio-heart

Golden Ratio Heart

sometimes results can look counter the norm, not sure this iteration worked out, but claims to be using the golden ratio as a mathematical basis

The Fibonacci Sequence is a sequence of numbers where each number is the sum of the previous two—i.e., 0, 1, 1, 2, 3, 5, 8, 13, 21, 34…and so on to infinity. The ratio of one number to the next is approximately 1.61803, which is called “phi”, or the Golden Ratio. It’s not a magical mathematical equation of the universe, but it definitely reflects natural, aesthetically beautiful patterns. The ratio been used as the ideal proportion standard by artists and architects throughout history

The Mathematics of Beauty The Fibonacci Sequence is a sequence of numbers where each number is the sum of the previous two—i.

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